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How do you solve $1 \frac{3}{8} = a + 2 \frac{2}{6}$ $1 3/8 = a + 2 2/6$ ?

1 Answer

Feb 6, 2016

$a = (- \frac{23}{24})$ $a=(-23/24)$

Explanation:

Re-write the given equation using improper fractions in place of the mixed fractions:
$XXX \frac{11}{8} = a + \frac{14}{6}$ $color(white)("XXX")11/8=a+14/6$

Subtract $\frac{14}{6}$ $14/6$ from both sides (and exchange sides for readability)
$XXX a = \frac{11}{8} - \frac{14}{6}$ $color(white)("XXX")a=11/8-14/6$

Convert the fractions to a common denominator
$XXX a = \frac{33 - 56}{24}$ $color(white)("XXX")a=(33-56)/24$

Simplify
$XXX a = - \frac{23}{24}$ $color(white)("XXX")a=-23/24$

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